Least Common Multiple of 838/64, 1868/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/64, 1868/892 quickly i.e. 195673 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/64, 1868/892 is 195673.

LCM(838/64, 1868/892) = 195673

LCM of 838/64, 1868/892

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 838/64,1868/892

Given numbers are 838/64,1868/892

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 838,1868

Least Common Multiple of Numerators i.e. LCM of 838,1868 is 782692.

GCF of Denominators means GCF of 64,892 as per the given fractions.

GCF of 64,892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,1868

LCM of Fractions 838/64,1868/892 is 195673

2 838, 1868
419, 934

∴ So the LCM of the given numbers is 2 x 419 x 934 = 782692

Least Common Multiple of 838,1868 with GCF Formula

Least Common Multiple of 838,1868 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 838,1868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,1868) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(838,1868) x common factors =2 x 1 = 2

LCM(838,1868) = ( 838 × 1868 ) / 2

LCM(838,1868) = 1565384 / 2

LCM(838,1868) = 782692


Lets's calculate GCF of 64,892

2 64, 892
2 32, 446
16, 223

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 782692/4

Therefore the LCM of Fractions 838/64,1868/892 is 195673

Greatest Common Factor of 64,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,892 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 64,892 . The biggest common factor number is the GCF number.
So the greatest common factor 64,892 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 838/64, 1868/892

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 838/64, 1868/892?

Answer: LCM of Numerators as per given numbers 838/64, 1868/892 is

LCM of Numerators i.e. for 838,1868 is 782692

GCF of denominators i.e. for 64,892 is 4.

Thus, LCM of Fractions is 195673.Finally, LCM of Fractions for 838/64, 1868/892 is 195673.